Signal flare and quadratics

A signal flare is fired from the boat. 

The height of the flare after it is fired can be described by this equation

h= -16t + 160t

What is the maximum height the flare will travel? 

How can we figure this out?

R-65

 

6x^3

6=coefficient 

x=base

3=exponent 

What is the base? 

-The number that the exponent tells what to do. 

-The number that the exponent tells us to multiply a certain time. 

What is the coeficient? 

-What I multiplied the expanded form by. 

Rules of Exponents

***When you're in doubt, expand it out.

Add
1. Add terms with the same exponents. Just add coefficients, not exponents.

Multiply
2. Multiply coefficients and add the exponents.

*** If I forget the rule, when in doubt, expand it out.

Division
3. A. Expand it out (When in doubt, expand it out)
    B. Cancel out like variable on top that are the same on the bottom (when you're done, make it one)

Multiply
4. Multiply the terms if they have the same exponents

L-62

(x^3)^4

(y^7)^2

(x^4)^6

**When you are in doubt, you expand it out

R and L 63 Quadratics

L-61:

Public Record

Area: Count the values add them
=> Add the big square= x^2, add the strip=x, and add the chips= 1.


Dimensions: Count the x strips and add to the x of the big square for each side.

If I gave you some random area, is it possible that you could determine the dimensions? 


Rules:

x^2+7x+12

3 and 4
3+4=7 Total x's
3 x 4=12 chips

If you multiply 6 x 1= 6 and if you add 6 + 1=7

If you have one x^2 and 9 single squares. How many different dimensions can you create using as many x strips as you want.

Quadratics

Staking a claim

Pretend you are on Mars. There are new precious metals found and Ally wants to make a claim. She wants to protect her claim and use laser fencing.

She has 20 meters of laser fencing, how can she represent a rectangular figure in a variety of ways with the laser fencing?


A. area=16

B. area= 21

C. area=9

 

How can we make this into a table? 

-side length, perimeter, area

Length      Area